Search a number
-
+
107332890476 = 22723435237411
BaseRepresentation
bin110001111110110001…
…0011110111101101100
3101021001012202202220212
41203331202132331230
53224304204443401
6121150312201552
710516544341640
oct1437542367554
9337035682825
10107332890476
1141579689269
12189756992b8
13a176a8aca6
1452a2cb2c20
152bd2dacdbb
hex18fd89ef6c

107332890476 has 96 divisors (see below), whose sum is σ = 229677600768. Its totient is φ = 42888605760.

The previous prime is 107332890449. The next prime is 107332890523. The reversal of 107332890476 is 674098233701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14479211 + ... + 14486621.

It is an arithmetic number, because the mean of its divisors is an integer number (2392475008).

Almost surely, 2107332890476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107332890476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114838800384).

107332890476 is an abundant number, since it is smaller than the sum of its proper divisors (122344710292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107332890476 is a wasteful number, since it uses less digits than its factorization.

107332890476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 107332890476 in words is "one hundred seven billion, three hundred thirty-two million, eight hundred ninety thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 23 28 43 46 86 92 161 172 301 322 523 602 644 989 1046 1204 1978 2092 3661 3956 6923 7322 7411 12029 13846 14644 14822 22489 24058 27692 29644 44978 48116 51877 84203 89956 103754 157423 168406 170453 207508 314846 318673 336812 340906 517247 629692 637346 681812 1034494 1193171 1274692 2068988 2230711 2386342 3620729 3875953 4461422 4772684 7241458 7329479 7751906 8922844 14482916 14658958 15503812 27131671 29317916 51306353 54263342 89146919 102612706 108526684 166665979 178293838 205225412 333331958 356587676 624028433 666663916 1166661853 1248056866 2333323706 2496113732 3833317517 4666647412 7666635034 15333270068 26833222619 53666445238 107332890476